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Finding the Fourth Proportional to 55,663, 76,815.12 and 30,169.78

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Solution

The fourth proportional to 55,663, 76,815.12 and 30,169.78 is: 41,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,663 : 76,815.12 = 30,169.78 : x
  2. Step 2: Convert to fraction form
    55,663/76,815.12 = 30,169.78/x
  3. Step 3: Cross multiply
    55,663x = 76,815.12 × 30,169.78
  4. Step 4: Simplify right side
    55,663x = 2,317,495,271.07
  5. Step 5: Solve for x
    x = 2,317,495,271.07/55,663
  6. Step 6: Final answer
    x = 41,634.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.